Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194x |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1768868484768 = 25 · 38 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44847,-3643763] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:74:1] |
Generators of the group modulo torsion |
j |
13683645700656625/2426431392 |
j-invariant |
L |
4.6074480468104 |
L(r)(E,1)/r! |
Ω |
0.32807291145543 |
Real period |
R |
1.7554969817415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398ba2 |
Quadratic twists by: -3 |